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Modelling customers’ impatience with discouraged arrival and retention of reneging

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  • Pallabi Medhi

Abstract

The paper presents stochastic modelling of a single server, finite buffer Markovian queueing system with discouraged arrivals, baulking, reneging, and retention of reneged customers. The Markov process is used to derive the steady-state solution of the model. Closed-form expressions using probability generating functions (PGFs) are derived and presented for both classical and novel performance measures. In addition, a sensitivity analysis is carried out to study the effect of the system parameters on performance measures. A numerical problem is also presented to demonstrate the derived results and some design aspects.

Suggested Citation

  • Pallabi Medhi, 2021. "Modelling customers’ impatience with discouraged arrival and retention of reneging," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 31(3), pages 67-88.
    • Handle: RePEc:wut:journl:v:31:y:2021:i:3:p:67-88:id:1607
    DOI: 10.37190/ord210304
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    References listed on IDEAS

    as
    1. K. V. Abdul Rasheed & M. Manoharan, 2016. "Markovian Queueing System with Discouraged Arrivals and Self-Regulatory Servers," Advances in Operations Research, Hindawi, vol. 2016, pages 1-11, April.
    2. Amina Angelika Bouchentouf & Aicha Messabihi, 2018. "Heterogeneous two-server queueing system with reverse balking and reneging," OPSEARCH, Springer;Operational Research Society of India, vol. 55(2), pages 251-267, June.
    Full references (including those not matched with items on IDEAS)

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